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Finding the Third Proportional to 1,536.59 and 2,306.39

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Solution

The third proportional to 1,536.59 and 2,306.39 is: 3,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.59 : 2,306.39 = 2,306.39 : x
  2. Step 2: Convert to fraction form
    1,536.59/2,306.39 = 2,306.39/x
  3. Step 3: Cross multiply
    1,536.59x = 2,306.39 × 2,306.39
  4. Step 4: Simplify right side
    1,536.59x = 5,319,437.72
  5. Step 5: Solve for x
    x = 5,319,437.72/1,536.59
  6. Step 6: Final answer
    x = 3,461.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.